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A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We establish nonlinear stability and asymptotic behavior of traveling periodic waves of viscous conservation laws under localized perturbations or nonlocalized perturbations asymptotic to constant shifts in phase, showing that long-time…

Analysis of PDEs · Mathematics 2012-11-12 Mathew A. Johnson , Pascal Noble , L. Miguel Rodrigues , Kevin Zumbrun

We study an array of two-level systems arranged on a lattice and illuminated by an external plane wave which drives a dipolar transition between the two energy levels. In this set up, the two-level systems are coupled by dipolar…

Quantum Gases · Physics 2018-06-20 C. D. Parmee , N. R. Cooper

We investigate the emergence of complex dynamics in a system of coupled dissipative kicked rotors and show that critical transitions can be understood via bifurcations of simple states. We study multistability and bifurcations in the single…

Chaotic Dynamics · Physics 2025-10-27 Jin Yan

Current-induced spin polarization (CISP) is rederived in ballistic spin-orbit-coupled electron systems, based on equilibrium statistical mechanics. A simple and useful picture is correspondingly proposed to help understand the CISP and…

Mesoscale and Nanoscale Physics · Physics 2008-10-24 Ming-Hao Liu , Son-Hsien Chen , Ching-Ray Chang

We present measurements of the dynamics of a polarized magnetic environment coupled to the flux degree of freedom of rf-SQUID flux qubits. The qubits are used as both sources of polarizing field and detectors of the environmental…

Quantum Physics · Physics 2020-04-02 T. Lanting , M. H. Amin , C. Baron , M. Babcock , J. Boschee , S. Boixo , V. N. Smelyanskiy , M. Foygel , A. G. Petukhov

We explore the dynamics and the steady state of a driven quantum spin coupled to a bath of fermions, which can be realized with a strongly imbalanced mixture of ultracold atoms using currently available experimental tools. Radio-frequency…

Quantum Gases · Physics 2014-01-06 Michael Knap , Dmitry A. Abanin , Eugene Demler

Motivated by experiments on chains of superconducting qubits, we consider the dynamics of a classical Klein-Gordon chain coupled to coherent driving and subject to dissipation solely at its boundaries. As the strength of the boundary…

Statistical Mechanics · Physics 2023-03-20 Abhinav Prem , Vir B. Bulchandani , S. L. Sondhi

We propose a general approach to study spin models with two symmetric absorbing states. Starting from the microscopic dynamics on a square lattice, we derive a Langevin equation for the time evolution of the magnetization field, that…

Statistical Mechanics · Physics 2009-01-08 F. Vazquez , C. Lopez

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

Adaptation and Self-Organizing Systems · Physics 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

We analyze a $XXZ$ spin-1/2 chain which is driven dissipatively at its boundaries. The dissipative driving is modelled by Lindblad jump operators which only act on both boundary spins. In the limit of large dissipation, we find that the…

Strongly Correlated Electrons · Physics 2020-04-15 Simon Essink , Stefan Wolff , Gunter M. Schütz , Corinna Kollath , Vladislav Popkov

Turbulent systems exhibit a remarkable multi-scale complexity, in which spatial structures induce scale-dependent statistics with strong departures from Gaussianity. In Fourier space, this is reflected by pronounced phase synchronization. A…

A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-orbit coupling is investigated. An analytic treatment of the ground state of a single atom in the weak-coupling regime is presented and used as a…

Quantum Gases · Physics 2020-04-29 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

Spin properties of single electron states in laterally coupled quantum dots in the presence of a perpendicular magnetic field are studied by exact numerical diagonalization. Dresselhaus (linear and cubic) and Bychkov-Rashba spin-orbit…

Other Condensed Matter · Physics 2007-05-23 Peter Stano , Jaroslav Fabian

The coupled-mode theory is developed for description of the nonlinear wave dynamics in binary optical lattices. The obtained equations of motion accurately describe nonlinear wave dynamics close to the band edges and in the gap of the…

Other Condensed Matter · Physics 2014-11-20 Lasha Tkeshelashvili

We make a quantum description of the electron low temperature properties of double exchange materials. In these systems there is a strong coupling between the core spin and the carriers spin. This large coupling makes the low energy spin…

Strongly Correlated Electrons · Physics 2009-10-31 M. J. Calderon , L. Brey

The spin-charge coupled dynamics in a thin, magnetized metallic system are investigated. The effective driving force acting on the charge carriers is generated by a dynamical magnetic texture, which can be induced, e.g., by a magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-03-06 Sebastian Tölle , Ulrich Eckern , Cosimo Gorini

This paper presents the boundary conditions needed for drift-diffusion models to treat interfaces with spin-orbit coupling. Using these boundary conditions for heavy metal/ferromagnet bilayers, solutions of the drift-diffusion equations…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 V. P. Amin , M. D. Stiles

The dynamics of qubits coupled to a harmonic oscillator with time-periodic coupling is investigated in the framework of Floquet theory. This system can be used to model nonadiabatic phenomena that require a periodic modulation of the…

Quantum Physics · Physics 2021-01-01 Mirko Amico , Roman Ya. Kezerashvili

We study the role of electron-electron interactions for spin polarized transport using the Boltzmann equation and derive a set of coupled transport equations. For spin polarized transport the electron-electron interactions are important,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Karsten Flensberg , Thomas Stibius Jensen , Niels Asger Mortensen